Stable linear multistep methods with off-step points for the solution of ordinary differential equations
Abstract
Of recent, stability has become an important concept and a qualitative property in any numerical integration scheme. In this work, we propose two stable linear multistep methods with off-step points for the numerical integration of ordinary differential equations whose development is collocation and interpolation based. The boundary locus techniques show that the proposed schemes are zero-stable, A-stable and -stable for some step number and are found suitable for stiff differential equations. Numerical results obtained compare favourably with some existing methods in literature.
Copyright © 2022 I. M. Esuabana, S. E. Ekoro, U. A. Abasiekwere, E. O. Ekpenyong, T. O. Ogumbe. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
I. M. Esuabana, S. E. Ekoro, U. A. Abasiekwere, E. O. Ekpenyong, T. O. Ogumbe, Stable linear multistep methods with off-step points for the solution of ordinary differential equations, J. Math. Comput. Sci. 12 (2022), 81. https://doi.org/10.28919/jmcs/6656
BibTeX
@article{Esuabana2022,
author = {Esuabana, I. M. and Ekoro, S. E. and Abasiekwere, U. A. and Ekpenyong, E. O. and Ogumbe, T. O.},
title = {Stable linear multistep methods with off-step points for the solution of ordinary differential equations},
journal = {J. Math. Comput. Sci.},
volume = {12},
year = {2022},
pages = {81},
doi = {10.28919/jmcs/6656}
}